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Andre45 [30]
2 years ago
7

Juanita has saved 35% of the money for a bike. She has saved $63 dollars. How much does the bike cost?

Mathematics
1 answer:
lara [203]2 years ago
8 0

Answer:

The total cost of the bike is $180.

Step-by-step explanation:

Given that Juanita has saved 35% of the money for a bike.

Let the total cost of the bike = x

As she has saved $63 dollars which represents the 35% of the money for a bike.

In other words, 35% of the total cost is $63 dollars.

As the total cost = x

Thus,

35% of x = 63

\frac{35}{100}x=63

Multiply both sides by 20

20\times \frac{35}{100}x=63\times \:20

simplify

7x=1260

Divide both sides by 7

\frac{7x}{7}=\frac{1260}{7}

Simplify

x=180 $

Thus, the total cost of the bike is $180.

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We have given that,

f(x) = 2x^2 + x + 4

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<h3>What is a polynomial function?</h3>

A polynomial function is a relation where a dependent variable is equal to a  polynomial expression.

A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.

The general form of a polynomial expression is:

a₀ + a₁x + a₂x² + a₃x³ + ... + anxⁿ.

The highest power to a variable is the degree of the polynomial expression. When degree = 2, the function is a quadratic function.

When degree = 1, the function is a linear function.

<h3>How do we solve the given question?</h3>

The quadratic function is given to us:f(x) = 2x^2 + x + 4.

We need to determine the linear equation g(x).

Since it's a linear equation we use the two-point method to determine the equation.

<h3>What is the two-point?</h3>

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

We take the points g(-2) =1, g(-1) = 3

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g(x) = x - 1 + 1 = x

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We are asked to find the solution to the system of equations f(x) and g(x).To find the solution we need to check what is the common solution to both f(x) and g(x).

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The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (\sqrt{2},\sqrt{-2}  ) and ((7+\sqrt{2)} ,(7+\sqrt{-2}))

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